Crude cumulative incidence in the form of a Horvitz-Thompson like and Kaplan-Meier like estimator
Articolo
Data di Pubblicazione:
2006
Citazione:
Crude cumulative incidence in the form of a
Horvitz-Thompson like and Kaplan-Meier like
estimator / L. Antolini, E.M. Biganzoli, P. Boracchi. - In: COBRA preprint series. - 2006:paper 10(2006 Oct), pp. 1-12.
Abstract:
The link between the nonparametric estimator of the crude cumulative incidence of a competing risk and the Kaplan-Meier estimator is exploited. The equivalence of the nonparametric crude cumulative incidence to an inverse-probability-of-censoring weighted average of the sub-distribution function is proved. The link between the estimation of crude cumulative incidence curves and Gray’s family of nonparametric tests is considered. The crude cumulative incidence is proved to be a Kaplan-Meier like estimator based on the sub-distribution hazard, i.e. the quantity on which Gray’s family of tests is based. A standard probabilistic formalism is adopted to have a note accessible to applied statisticians.
Tipologia IRIS:
01 - Articolo su periodico
Elenco autori:
L. Antolini, E.M. Biganzoli, P. Boracchi
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